Analysis of ODD/ODD vertex removal games on special graphs

In this paper we analyze the odd/odd vertex removal game introduced by P. Ottaway. We prove that every bipartite graph has Grundy value 0 or 1 only depending on the parity of the number of edges in the graph. In addition we also reduce a conjecture proposed by K. Shelton to seemingly simpler one, in...

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Bibliographic Details
Main Author: Kruger, Oliver
Format: Others
Language:English
Published: KTH, Matematik (Inst.)
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-102725